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Anna11 [10]
2 years ago
14

I NEED HELP PLEASE AND SHOW THE WORK PLEASE

Mathematics
1 answer:
Trava [24]2 years ago
8 0

Answer:

6. x = 28 degrees

7.  z = 1.6 cm

Step-by-step explanation:

6.  

Notice that you can use the property that tells us that the addition of all internal angles of a triangle must give 180 degrees, then you write the following equation:

50 + 69 + (2 x +5) = 180

combine like terms:

119 + 2 x + 5 = 180

124 + 2 x = 180

subtract 124 from both sides:

2 x = 56

divide by 2 both sides:

x = 56 / 2

x = 28 degrees

Problem 7.

If the two triangles are congruent, then the side MN must equal side RS.

Since MN  measure 1,8 cm, then RS must also measure 1.8 cm

and we can write the equation:

1.8 = 3 z - 3

adding 3 to both sides:

1.8 + 3 = 3 z

4.8 = 3 z

dividing both sides by 3:

z = 4.8 / 3

z = 1.6 cm

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Purchasing a TV that is 20% off will save $180.
Flauer [41]

Answer:

$900

Step-by-step explanation:

a)Off given on purchasing a TV=  20%

20% on TV = $ 180

Let the original price of TV set $ x

According to question,

20% of x= $180

\frac{20}{100} ×x= $180

x = $ 180× 5

x= $ 900

Hence, Original price of TV set= $ 900

b)  By second method,

20%= $180

1%= $ 9

100% = $900

Hence, the original price $ 900

4 0
3 years ago
An athletic facility is building an indoor track. The track is composed of a rectangle and two semicircles.
Mazyrski [523]

Answer:

(The image is not provided, so i draw an idea of how i supposed that the problem is, the image is at the bottom)

Ok, we have a rectangle of length x by r.

At the extremes of length r, we add two semicircles.

So the perimeter will be equal to:

Two times x, plus the perimeter of the two semicircles (that can be thought as only one circle).

The radius of the semicircles is r, and the perimeter of a circle is:

C = 2*pi*r

where pi = 3.14

Then the perimeter of the track is:

P = 2*x + 2*pi*r.

b) now we want to solve this for x, this means isolating x in one side of the equation.

P - 2*pi*r = 2*x

P/2 - pi*r = x.

c) now we have:

P = 660ft

r = 50ft

then we can replace the values and find x.

x = 660ft/2 - 3.14*50ft = 173ft

5 0
3 years ago
The perimeter of a rectangle is 26 cm. The rectangle has a length of 8 cm. What is the width of the rectangle?
zvonat [6]

Answer:

A. 2(8)+2(w)=26

B. 16+2w=26

Subtract 16 from both sides of the equation

2w=10

Divide both side by 2

The width is 5

Step-by-step explanation:

3 0
3 years ago
What is the next step in constructing an angle mno congruent to the given angle with a straightedge and a compass
algol [13]

Answer: ever got the answer?

Step-by-step explanation:

3 0
2 years ago
3/6 -1/6= <br> HELP ITS FOR A TEST
DiKsa [7]
Answer:
3/6-1/6=0.333
8 0
3 years ago
Read 2 more answers
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